18673599119616 has 567 divisors, whose sum is σ = 65055556539981. Its totient is φ = 5331580434432.

The previous prime is 18673599119579. The next prime is 18673599119639. The reversal of 18673599119616 is 61691199537681.

The square root of 18673599119616 is 4321296.

It is a perfect power (a square), and thus also a powerful number.

18673599119616 is a `hidden beast` number, since 1 + 8 + 6 + 7 + 3 + 599 + 1 + 19 + 6 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1258668585216 + 17414930534400 = 1121904^2 + 4173120^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-3 number, since 3×18673599119616³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 13067598390 + ... + 13067599818.

Almost surely, 2^{18673599119616} is an apocalyptic number.

18673599119616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18673599119616 is the 4321296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18673599119616

18673599119616 is an abundant number, since it is smaller than the sum of its proper divisors (46381957420365).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18673599119616 is an frugal number, since it uses more digits than its factorization.

18673599119616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 1441 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 72.

The spelling of 18673599119616 in words is "eighteen trillion, six hundred seventy-three billion, five hundred ninety-nine million, one hundred nineteen thousand, six hundred sixteen".